1022233400352 has 144 divisors (see below), whose sum is σ = 2988757699200. Its totient is φ = 331255712256.

The previous prime is 1022233400351. The next prime is 1022233400359. The reversal of 1022233400352 is 2530043322201.

1022233400352 is a `hidden beast` number, since 1 + 0 + 2 + 223 + 3 + 400 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1022233400352² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022233400351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1763443 + ... + 2270285.

It is an arithmetic number, because the mean of its divisors is an integer number (20755261800).

Almost surely, 2^{1022233400352} is an apocalyptic number.

1022233400352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022233400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494378849600).

1022233400352 is an abundant number, since it is smaller than the sum of its proper divisors (1966524298848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022233400352 is a wasteful number, since it uses less digits than its factorization.

1022233400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507055 (or 507044 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 1022233400352 its reverse (2530043322201), we get a palindrome (3552276722553).

The spelling of 1022233400352 in words is "one trillion, twenty-two billion, two hundred thirty-three million, four hundred thousand, three hundred fifty-two".